1. The 2006 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 39.04, with a standard deviation of 11.51. The sample size is 83.a. Estimate the value of the standard error.b.Calculate a 95 percent confidence interval for the mean number of hours worked per week with these data.c.Say we increased the sample size to 10,000 and found the same mean and standard deviation. What would be the standard error?d.If we increased the sample size to 10,000 what would be the 95% confidence interval for the mean number of hours worked per week?e.Write a sentence answering: How does increasing the sample size affect the width of the confidence interval?f. If we increased the sample size to10,000 what would be the 99% confidence interval for the mean number of hours worked per week?g.Write a sentence answering: How does changing the level of confidence from 95% to99% affect the width of the confidence interval? 1. The 2006 General Social Survey contains information on the number of hours worked by arespondent each week. The mean number of hours worked per week is 39.04, with a standarddeviation of 11.51. The sample size is 83.a. Estimate the value of the standard error.b. Calculate a 95 percent confidence interval for the mean number of hours worked perweek with these data.c. Say we increased the sample size to 10,000 and found the same mean and standarddeviation. What would be the standard error?d. If we increased the sample size to 10,000 what would be the 95% confidence intervalfor the mean number of hours worked per week?e. Write a sentence answering: How does increasing the sample size affect the width ofthe confidence interval?f. If we increased the sample size to 10,000 what would be the 99% confidence intervalfor the mean number of hours worked per week?g. Write a sentence answering: How does changing the level of confidence from 95% to99% affect the width of the confidence interval?

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Answered: 1. The 2006 General Social Survey…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

1. The 2006 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 39.04, with a standard deviation of 11.51. The sample size is 83.

a. Estimate the value of the standard error.

b.Calculate a 95 percent confidence interval for the mean number of hours worked per week with these data.

c.Say we increased the sample size to 10,000 and found the same mean and standard deviation. What would be the standard error?

d.If we increased the sample size to 10,000 what would be the 95% confidence interval for the mean number of hours worked per week?

e.Write a sentence answering: How does increasing the sample size affect the width of the confidence interval?

f. If we increased the sample size to10,000 what would be the 99% confidence interval for the mean number of hours worked per week?

g.Write a sentence answering: How does changing the level of confidence from 95% to

99% affect the width of the confidence interval?

1. The 2006 General Social Survey contains information on the number of hours worked by a
respondent each week. The mean number of hours worked per week is 39.04, with a standard
deviation of 11.51. The sample size is 83.
a. Estimate the value of the standard error.
b. Calculate a 95 percent confidence interval for the mean number of hours worked per
week with these data.
c. Say we increased the sample size to 10,000 and found the same mean and standard
deviation. What would be the standard error?
d. If we increased the sample size to 10,000 what would be the 95% confidence interval
for the mean number of hours worked per week?
e. Write a sentence answering: How does increasing the sample size affect the width of
the confidence interval?
f. If we increased the sample size to 10,000 what would be the 99% confidence interval
for the mean number of hours worked per week?
g. Write a sentence answering: How does changing the level of confidence from 95% to
99% affect the width of the confidence interval?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions